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Simplifying 5x + 9x + -80 = 100 + -6x Reorder the terms: -80 + 5x + 9x = 100 + -6x Combine like terms: 5x + 9x = 14x -80 + 14x = 100 + -6x Solving -80 + 14x = 100 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -80 + 14x + 6x = 100 + -6x + 6x Combine like terms: 14x + 6x = 20x -80 + 20x = 100 + -6x + 6x Combine like terms: -6x + 6x = 0 -80 + 20x = 100 + 0 -80 + 20x = 100 Add '80' to each side of the equation. -80 + 80 + 20x = 100 + 80 Combine like terms: -80 + 80 = 0 0 + 20x = 100 + 80 20x = 100 + 80 Combine like terms: 100 + 80 = 180 20x = 180 Divide each side by '20'. x = 9 Simplifying x = 9
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